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Finding the Third Proportional to 7,886 and 18,429

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Solution

The third proportional to 7,886 and 18,429 is: 43,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886 : 18,429 = 18,429 : x
  2. Step 2: Convert to fraction form
    7,886/18,429 = 18,429/x
  3. Step 3: Cross multiply
    7,886x = 18,429 × 18,429
  4. Step 4: Simplify right side
    7,886x = 339,628,041
  5. Step 5: Solve for x
    x = 339,628,041/7,886
  6. Step 6: Final answer
    x = 43,067.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.